limlnx/x当x趋于0+极限为-∞,limsin(x-1)/(x^2-x)当x趋于0时的极限为∞,该怎样理解limlnx/x当x趋于0+极限为-∞,是当x趋于0时1/x趋于∞,lnx趋于-∞,他们相乘为-∞吗?limsin(x-1)/(x^2-x)当x趋于0时的极限为∞,是x趋于0时1/x,1/(x-1)趋于∞,sin(x-1)为常数,他们相乘为∞吗?

问题描述:

limlnx/x当x趋于0+极限为-∞,limsin(x-1)/(x^2-x)当x趋于0时的极限为∞,该怎样理解
limlnx/x当x趋于0+极限为-∞,是当x趋于0时1/x趋于∞,lnx趋于-∞,他们相乘为-∞吗?
limsin(x-1)/(x^2-x)当x趋于0时的极限为∞,是x趋于0时1/x,1/(x-1)趋于∞,sin(x-1)为常数,他们相乘为∞吗?